Answer
$x=1.53$
Work Step by Step
Divide both sides by $5$. Then make each side a natural log, and pull down the exponent on the left side. Then divide to solve for $x$.
$5e^x=23$
$e^x=\frac{23}{5}$
$x\ln(e)=\ln(\frac{23}{5})$
$x=\frac{\ln(\frac{23}{5})}{\ln(e)}$
$x=1.53$